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Finding the Fourth Proportional to 210.18, 314.81 and 158.85

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Solution

The fourth proportional to 210.18, 314.81 and 158.85 is: 237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.18 : 314.81 = 158.85 : x
  2. Step 2: Convert to fraction form
    210.18/314.81 = 158.85/x
  3. Step 3: Cross multiply
    210.18x = 314.81 × 158.85
  4. Step 4: Simplify right side
    210.18x = 50,006.77
  5. Step 5: Solve for x
    x = 50,006.77/210.18
  6. Step 6: Final answer
    x = 237.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.